Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line is,

y = -11/3 x + 3

Since, The standard form of the equation of line will be;

Ax + By = C

Where, A, B and C are integers.

Now, We convert the equation of line in standard form as;

The equation of line is,

y = -11/3 x + 3

Multiply by 3 in both sides,

3 × y = 3 (-11/3 x + 3)

3y = 3 × -11/3 x + 3 × 3

3y = - 11x + 9

3y = - 11x + 9

Add 11x both side;

11x + 3y = - 11x + 9 + 11x

11x + 3y = 9

Thus,

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

Learn more about the linear equation visit:

https://brainly.com/question/18831322

#SPJ1

B) (X + 1, Y + 7)

We start with X + 2, we then take away X - 1, we are left with X + 1.

We start with Y + 2, we then add Y + 5, we are left with Y + 7.

The only option that has both X + 1 and Y + 7 is B.

I hope this helps! :)

Answer:(1-(1/x))/2

Step-by-step explanation:

(1-(1/x))/2

We can multiply both sides by x:

Top:  x(1-(1/x)) = (x - 1)

Bottom: 2x

(1-(1/x))/2

Answer:

x

Step-by-step explanation:

Answer:

Step-by-step explanation:

multiply everything by three to get your answer

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

Answer:

BODMAS

Step-by-step explanation:

5+2(3-1)

= 5 + 2(2)

= 5 + 4

= 9

*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9

Bracket Of Division Multiplication Addition Subtraction

First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.

Hope this helps!!

Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87

The chicken thighs cost $1.29 per pound purchased.

The cost of 3 pounds is:

= Cost per pound x Number of pounds

Solving would give:

= 1.29 x 3

= $3.87

In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.

Find out more at https://brainly.com/question/21511823.

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:

Step-by-step explanation:

Answer:

It's x² -12xi-12x

Step-by-step explanation:

You always do ax²+bx+c

Answer:

See below:

Step-by-step explanation:

The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.

So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].

So what we can do, is input 12 as n in the original function.

Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]

Using algebra, we can solve it and we get 11!

Cheers!

Answer

80000

Step-by-step explanation:

200×400

=80000

Answer:

The correct answer is AAAA

Answer:

A.

[tex] \frac{8}{15} and \: 0.53[/tex]

Answer:

the highest choices are red and green

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

ANSWER:

The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.

Step-by-step explanation:

For the first one it is: 0.27... or 3/11

For the second one it is: 6

For the third one it is: 1 or 6, meaning it has two solutions

For the fourth one it is: 6.285714, or 44/7

for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11

for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6

I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.

The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

The equations that have {6} as its solution set is,

We have to solve the equation in order to find the value of x,

Equation 1,

15−x=54x

54x+x=15

55x=15

x=0.27

Equation 2,

8+3x=6x−10

6x-3x=-10+8

3x=18

x=6

Equation 3,

x²+2=7x−4

x²-7x+6=0

x²+6x+x+6=0

x(x+6)+1(x+6)=0

(x+1)=0 , x=-1

(x+6)=0, x=-6

Equation 4,

43−4x=3x−1

4x+3x=43+1

7x=44

x=44/7

x=6.285

Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Answer:

x = -6

y = 8

Step-by-step explanation:

Using substitution method.

2x + y = -4 -----------(I)

      y = - 4 - 2x -----------(II)

5x + 3y = -6 -------------------(III)

Substitute y = -4 -2x in equation (III)

5x + 3(-4-2x) = - 6

5x - 12  - 6x = -6

5x - 6x - 12 = -6

Combine like terms

    -x - 12     = -6   {Add 12 to both sides}

              -x = -6 + 12

              -x = 6              {Multiply by (-1)}

               x = -6

Substitute x = -6 in equation (II)

y = - 4 - 2*(-6)

  = -4 + 12

y = 8

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

True

5 more than a number is an equation because you are adding two values.

Answer:

n+5

Step-by-step explanation:

If we choose the number to be n then 5 more than is 5 added to the number.

hence: n + 5

Answer:

2^3n-4>0 4

Step-by-step explanation:

brainlies me plsss

Answer:

There are 14 teachers per student

Step-by-step explanation:

students per teacher =

students / teachers

students: 84

teachers 6

84 / 6 = 14

Answer:

g(x) = 2|x|: vertical stretch by a factor of 2.

h(x) = ⅓|x|: vertical compression by a factor of ⅓.

w(x) = 4|x|: vertical stretch by a factor of 4.

Step-by-step explanation:

Given the graph of an absolute value parent function, f(x) = |x|:

Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.  

Hence, when a > 1, the graph is narrower than the parent function.

In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2.  When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function.  For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x|  when x = 1.  

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In g(x) = 2|x|, when x = 1, y = 2.

Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.  

Hence, when 0 < a < 1 , the graph is wider than the parent function.    

In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓.  When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.

If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|,  when x = 1:

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In h(x) = ⅓|x|:  when x = 1, y = ⅓.

Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In w(x) = a|x|,  when x = 1, y = 4.  

This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.

Therefore, the function that represents the given graph is w(x) = 4|x|.

Answer:

54 marbles

Step-by-step explanation:

7+2=9(amount Eric had in all)

9×6=54

so in all, he bought 54 marbles which he shared among his friends and brother.

ANS:54 marbles

Answer:

45 minutes

Step-by-step explanation:

Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk

[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]

Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.

[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]

Done.

Answer:

$1717.80

Step-by-step explanation:

We are given one clue: He pays $572.60 each year to cover everyone and his family.

We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.

572.60 x 3 = Total cost to pay after 3 years.

=> $1717.80 = Total cost to pay after 3 years.

We can conclude that Phil will have to pay $1717.80 after 3 years.